Given a group of students:  or  list and count the different ways of choosing the following officers or representatives for student congress. Assume that no one can hold more than one office.Three representatives, if two must be male and one must be female

A. ACB, ACD, AEB, AED, CEB, CED, DEC, BEC, DEA, BEA, DCA, BCA; 12
B. ACB, ACD, AEB, AED; 4
C. ACB, ACD, AEB, AED, CEB, CED; 6
D. ABC, CDE; 2


Answer: C

Mathematics

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Simplify.

A. -(x + 3) B. x + 3 C. 3x(x + 3) D. -(x - 3)

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Decide whether or not the equation has a circle as its graph. If it does not, describe the graph.x2 + y2 + 6x - 18y + 90 = 0

A. no; the graph is nonexistent B. yes C. no; the graph is the point (-3, 9) D. no; the graph is the point (3, -9)

Mathematics

Graph the basic function using a solid line and the transformed function using a dotted line.f(x) = - (x + 4)2 + 3

A.

B.


C.

D.

Mathematics

Use the RTSC Approach to solve the application.The width of a room is 9 feet, and the area of the room is 108 ft2. Find the room's length.

A. 12 feet B. 972 feet C. 45 feet D. 99 feet

Mathematics